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Finding the Third Proportional to 118,950 and 267,843

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Solution

The third proportional to 118,950 and 267,843 is: 603,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,950 : 267,843 = 267,843 : x
  2. Step 2: Convert to fraction form
    118,950/267,843 = 267,843/x
  3. Step 3: Cross multiply
    118,950x = 267,843 × 267,843
  4. Step 4: Simplify right side
    118,950x = 71,739,872,649
  5. Step 5: Solve for x
    x = 71,739,872,649/118,950
  6. Step 6: Final answer
    x = 603,109.48

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.